A necessary condition for Sobolev extension domains in higher dimensions
From MaRDI portal
Publication:6141049
DOI10.1016/j.na.2023.113446arXiv2207.00541MaRDI QIDQ6141049
Tapio Rajala, Jyrki Takanen, Miguel García-Bravo
Publication date: 22 January 2024
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.00541
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On extensions of Sobolev functions defined on regular subsets of metric measure spaces
- On planar Sobolev \(L_p^m\)-extension domains
- Quasiconformal mappings and extendability of functions in Sobolev spaces
- John disks
- Hölder quasicontinuity of Sobolev functions on metric spaces
- Uniform, Sobolev extension and quasiconformal circle domains
- On Sobolev extension domains in \(\mathbb R^n\)
- Sobolev embeddings, extensions and measure density condition
- Dimension estimates for the boundary of planar Sobolev extension domains
- Injectivity theorems in plane and space
- Pointwise inequalities for Sobolev functions revisited
- Traces of Newtonian-Sobolev, Hajlasz-Sobolev, and BV functions on metric spaces
- Geometric Properties of Planar BV -Extension Domains
- Local approximations and intrinsic characterization of spaces of smooth functions on regular subsets of ℝn
- Connected components of sets of finite perimeter and applications to image processing
- Dimension estimate for the two-sided points of planar Sobolev extension domains
This page was built for publication: A necessary condition for Sobolev extension domains in higher dimensions